Download Books IV to VII of Diophantus’ Arithmetica : in the Arabic by Jacques Sesiano PDF

By Jacques Sesiano

This version of Books IV to VII of Diophantus' Arithmetica, that are extant in simple terms in a lately chanced on Arabic translation, is the outgrowth of a doctoral dissertation submitted to the Brown college division of the historical past of arithmetic in may perhaps 1975. Early in 1973, my thesis adviser, Gerald Toomer, realized of the lifestyles of this manuscript in A. Gulchln-i Macanl's just-published catalogue of the mathematical manuscripts within the Mashhad Shrine Library, and secured a photographic replica of it. In Sep­ tember 1973, he proposed that the examine of or not it's the topic of my dissertation. for the reason that obstacles of time forced us to settle on priorities, the 1st goal used to be to set up a severe textual content and to translate it. accordingly, the Arabic textual content and the English translation seem the following almost as they did in my thesis. significant adjustments, even though, are present in the mathematical com­ mentary and, much more so, within the Arabic index. The dialogue of Greek and Arabic interpolations is totally new, as is the reconstruction of the historical past of the Arithmetica from Diophantine to Arabic instances. it truly is with the inner most gratitude that I recognize my nice debt to Gerald Toomer for his consistent encouragement and important assistance.

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Additional resources for Books IV to VII of Diophantus’ Arithmetica : in the Arabic Translation Attributed to Qustā ibn Lūqā

Example text

25 em The noun denoting the things numbered generally appears after the last numeral. There are some passages, however, in which the noun is repeated 23 The misunderstanding of a waw of case ending could account for the incongruous presence of three conjunctive waw's (see notes 174, 593, 732). 24 We have kept this particular form in the edited text. 25 Exceptions are in all probability scribal errors, and we have corrected them (app .. notes 340, 354,473,565, 745, 799). , Caspari-Wright, II, p.

Lines \85-86). 31 32 II The Extant Arabic Text 43 c. , lines 241, 1298, 1944, 1994,2015,2056,2070,2111,2211,3234). The singular, however, occurs in many passages (see lines 865-66, 1472,2301 (dualistic), 2556, 2654, 2675,2698,2762,2794,2886,3193,3272,3486,3521). D. POWERS a. The Greek Power-system It is an established fact today that Diophantus did not invent the words used in Greek times to designate the different powers of the unknown up to the sixth. ,UC; appears in Heron's M etrica, a work anterior to the Arithmetica.

47. In all these latter examples, the numbered object is in the accusative singular (but the verb is not necessarily in the singular when the numbered object is: cf. lines \85-86). 31 32 II The Extant Arabic Text 43 c. , lines 241, 1298, 1944, 1994,2015,2056,2070,2111,2211,3234). The singular, however, occurs in many passages (see lines 865-66, 1472,2301 (dualistic), 2556, 2654, 2675,2698,2762,2794,2886,3193,3272,3486,3521). D. POWERS a. The Greek Power-system It is an established fact today that Diophantus did not invent the words used in Greek times to designate the different powers of the unknown up to the sixth.

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